question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
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b'Let f(a) be the second derivative of -3977*a**3/3 + 3623*a**2 - 2*a - 86. Differentiate f(q) with respect to q.\n' | b'-7954\n' | b'Let f(a) be the second derivative of -3977*a**3/3 + 3623*a**2 - 2*a - 86. Differentiate f(q) with respect to q.\n' | b'-7954\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 1, t: 1, c: 2, n: 1, d: 2}. What is prob of picking 1 c, 1 n, and 1 d?\n' | b'4/35\n' | b'Three letters picked without replacement from {s: 1, t: 1, c: 2, n: 1, d: 2}. What is prob of picking 1 c, 1 n, and 1 d?\n' | b'4/35\n' | deepmind/math_dataset |
b'Let z(u) = -10*u + 2 + 0*u - 2. What is z(1)?\n' | b'-10\n' | b'Let z(u) = -10*u + 2 + 0*u - 2. What is z(1)?\n' | b'-10\n' | deepmind/math_dataset |
b'What is prob of picking 1 n, 1 c, and 1 g when three letters picked without replacement from cnbnnnnengbsgnbnnn?\n' | b'5/204\n' | b'What is prob of picking 1 n, 1 c, and 1 g when three letters picked without replacement from cnbnnnnengbsgnbnnn?\n' | b'5/204\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {t: 6, a: 2, j: 4, q: 1, x: 3}. What is prob of picking 3 x and 1 q?\n' | b'1/1820\n' | b'Four letters picked without replacement from {t: 6, a: 2, j: 4, q: 1, x: 3}. What is prob of picking 3 x and 1 q?\n' | b'1/1820\n' | deepmind/math_dataset |
b'Let w(m) be the first derivative of -1/2*m**4 + 8/5*m**5 - 119 + 0*m**2 - 31*m + 0*m**3. Differentiate w(c) wrt c.\n' | b'32*c**3 - 6*c**2\n' | b'Let w(m) be the first derivative of -1/2*m**4 + 8/5*m**5 - 119 + 0*m**2 - 31*m + 0*m**3. Differentiate w(c) wrt c.\n' | b'32*c**3 - 6*c**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kkbrbr. Give prob of sequence rr.\n' | b'1/15\n' | b'Two letters picked without replacement from kkbrbr. Give prob of sequence rr.\n' | b'1/15\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 3, y: 2, v: 1, a: 6}. Give prob of sequence aav.\n' | b'1/44\n' | b'Three letters picked without replacement from {m: 3, y: 2, v: 1, a: 6}. Give prob of sequence aav.\n' | b'1/44\n' | deepmind/math_dataset |
b'Calculate prob of sequence dx when two letters picked without replacement from {x: 5, m: 5, d: 4}.\n' | b'10/91\n' | b'Calculate prob of sequence dx when two letters picked without replacement from {x: 5, m: 5, d: 4}.\n' | b'10/91\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 3, h: 2}. Give prob of sequence pph.\n' | b'1/5\n' | b'Three letters picked without replacement from {p: 3, h: 2}. Give prob of sequence pph.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let j(b) = b**3 + 3*b**2 - 2*b + 14. Let c be 152/1368 - (82/9 - (-2 + 5)). What is j(c)?\n' | b'-82\n' | b'Let j(b) = b**3 + 3*b**2 - 2*b + 14. Let c be 152/1368 - (82/9 - (-2 + 5)). What is j(c)?\n' | b'-82\n' | deepmind/math_dataset |
b'Let j be (-72)/(-8) + (15/(-3) - 0). Solve -t - j - 1 = a, -2*t + 2*a = -6 for t.\n' | b'-1\n' | b'Let j be (-72)/(-8) + (15/(-3) - 0). Solve -t - j - 1 = a, -2*t + 2*a = -6 for t.\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from rwwwrarrwwowoortry. Give prob of sequence row.\n' | b'3/136\n' | b'Three letters picked without replacement from rwwwrarrwwowoortry. Give prob of sequence row.\n' | b'3/136\n' | deepmind/math_dataset |
b'Calculate prob of sequence oi when two letters picked without replacement from {i: 2, s: 4, o: 2, n: 2}.\n' | b'2/45\n' | b'Calculate prob of sequence oi when two letters picked without replacement from {i: 2, s: 4, o: 2, n: 2}.\n' | b'2/45\n' | deepmind/math_dataset |
b'Let l(f) = -19*f - 68. Let t(s) = -2*s - 1. Let c(r) = l(r) - 4*t(r). Let k be c(-6). Solve 3*j - 4*w - 5 = 0, -k*w - 3*w - 10 = 0 for j.\n' | b'-1\n' | b'Let l(f) = -19*f - 68. Let t(s) = -2*s - 1. Let c(r) = l(r) - 4*t(r). Let k be c(-6). Solve 3*j - 4*w - 5 = 0, -k*w - 3*w - 10 = 0 for j.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((d*(d**4*d)/d)/d**(-1/4))**(1/38)/((d/(d**(-2/5)*d))**(7/4)*d**5/d**(-5)) assuming d is positive.\n' | b'd**(-8027/760)\n' | b'Simplify ((d*(d**4*d)/d)/d**(-1/4))**(1/38)/((d/(d**(-2/5)*d))**(7/4)*d**5/d**(-5)) assuming d is positive.\n' | b'd**(-8027/760)\n' | deepmind/math_dataset |
b'Let f(s) = -s**3 + 3*s**2 - s + 5. Let l be f(3). What is the derivative of 1 - 2 - 3 - 11*j**2 + l*j**2 wrt j?\n' | b'-18*j\n' | b'Let f(s) = -s**3 + 3*s**2 - s + 5. Let l be f(3). What is the derivative of 1 - 2 - 3 - 11*j**2 + l*j**2 wrt j?\n' | b'-18*j\n' | deepmind/math_dataset |
b'Let c(r) be the second derivative of -209*r**8/56 + 7*r**4/12 - 5*r**3/6 + 12*r - 7. What is the third derivative of c(q) wrt q?\n' | b'-25080*q**3\n' | b'Let c(r) be the second derivative of -209*r**8/56 + 7*r**4/12 - 5*r**3/6 + 12*r - 7. What is the third derivative of c(q) wrt q?\n' | b'-25080*q**3\n' | deepmind/math_dataset |
b'Suppose v + 2*v - 18 = 0. Let n be 3 - 9 - -6 - -3. Solve n = -h - g, -2*h + 0*h - v = -g for h.\n' | b'-3\n' | b'Suppose v + 2*v - 18 = 0. Let n be 3 - 9 - -6 - -3. Solve n = -h - g, -2*h + 0*h - v = -g for h.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence jbjj when four letters picked without replacement from ijibbqbqqibjiqijjij?\n' | b'5/1938\n' | b'What is prob of sequence jbjj when four letters picked without replacement from ijibbqbqqibjiqijjij?\n' | b'5/1938\n' | deepmind/math_dataset |
b'Let k = 5 + -3. Let l be 6/(-45) - 86/30. Let m be l + (4 + (-102)/30)*5. Solve k*d = m, -2*q + 2*d + 6 = q for q.\n' | b'2\n' | b'Let k = 5 + -3. Let l be 6/(-45) - 86/30. Let m be l + (4 + (-102)/30)*5. Solve k*d = m, -2*q + 2*d + 6 = q for q.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -3*v + 8 = 2*j, j - 4 = -9*v + 7*v. Solve 4*f = 4, 2*g + 20 = 6*g + j*f for g.\n' | b'4\n' | b'Suppose -3*v + 8 = 2*j, j - 4 = -9*v + 7*v. Solve 4*f = 4, 2*g + 20 = 6*g + j*f for g.\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 1, w: 1, a: 1, t: 6}. What is prob of sequence tat?\n' | b'5/84\n' | b'Three letters picked without replacement from {n: 1, w: 1, a: 1, t: 6}. What is prob of sequence tat?\n' | b'5/84\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ddkkk. Give prob of picking 2 k.\n' | b'3/10\n' | b'Two letters picked without replacement from ddkkk. Give prob of picking 2 k.\n' | b'3/10\n' | deepmind/math_dataset |
b'Let x(v) = v + 13. Let s be (18/4)/(4/(-8)). Let u be x(s). Let c be -1 - -3 - (0 + u). Let r(z) = -z**3 + z**2 + 1. Determine r(c).\n' | b'13\n' | b'Let x(v) = v + 13. Let s be (18/4)/(4/(-8)). Let u be x(s). Let c be -1 - -3 - (0 + u). Let r(z) = -z**3 + z**2 + 1. Determine r(c).\n' | b'13\n' | deepmind/math_dataset |
b'Let c = -3 + 8. Let t(u) = 2*u**2 + 3*u. Let n(z) = 2*z**2 + 3*z. Let j(l) = c*t(l) - 4*n(l). Find the second derivative of j(m) wrt m.\n' | b'4\n' | b'Let c = -3 + 8. Let t(u) = 2*u**2 + 3*u. Let n(z) = 2*z**2 + 3*z. Let j(l) = c*t(l) - 4*n(l). Find the second derivative of j(m) wrt m.\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from pppppppppppppzpzppzp. What is prob of picking 2 z and 1 p?\n' | b'17/380\n' | b'Three letters picked without replacement from pppppppppppppzpzppzp. What is prob of picking 2 z and 1 p?\n' | b'17/380\n' | deepmind/math_dataset |
b'Let w = 124 - 123. Let g be (-1)/4*w - (-468)/16. Solve -6 = 4*l + 5*i - g, -3*i = -l - 7 for l.\n' | b'2\n' | b'Let w = 124 - 123. Let g be (-1)/4*w - (-468)/16. Solve -6 = 4*l + 5*i - g, -3*i = -l - 7 for l.\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {l: 1, z: 2, p: 1, j: 4}. Give prob of picking 1 z and 2 j.\n' | b'3/14\n' | b'Three letters picked without replacement from {l: 1, z: 2, p: 1, j: 4}. Give prob of picking 1 z and 2 j.\n' | b'3/14\n' | deepmind/math_dataset |
b'Let u(g) = g**3. Let d(l) = -192*l**2 + 192*l**2 - 6*l**3 - 2*l. Let s(o) = d(o) - 3*u(o). What is the second derivative of s(v) wrt v?\n' | b'-54*v\n' | b'Let u(g) = g**3. Let d(l) = -192*l**2 + 192*l**2 - 6*l**3 - 2*l. Let s(o) = d(o) - 3*u(o). What is the second derivative of s(v) wrt v?\n' | b'-54*v\n' | deepmind/math_dataset |
b'Simplify g**6*g**(-2/5) assuming g is positive.\n' | b'g**(28/5)\n' | b'Simplify g**6*g**(-2/5) assuming g is positive.\n' | b'g**(28/5)\n' | deepmind/math_dataset |
b'Simplify (y**(6/7)/y)/(y**(-26)*y*y) assuming y is positive.\n' | b'y**(167/7)\n' | b'Simplify (y**(6/7)/y)/(y**(-26)*y*y) assuming y is positive.\n' | b'y**(167/7)\n' | deepmind/math_dataset |
b'Suppose -3*h + 11 = -2*p, -3*p - h = -7 - 4. Solve 7 = p*j - 3*w, -2*j = -0*w + 5*w + 33 for j.\n' | b'-4\n' | b'Suppose -3*h + 11 = -2*p, -3*p - h = -7 - 4. Solve 7 = p*j - 3*w, -2*j = -0*w + 5*w + 33 for j.\n' | b'-4\n' | deepmind/math_dataset |
b'Let q(a) be the third derivative of -161*a**5/30 - 85*a**3/2 - 2*a**2 - 27*a. What is the first derivative of q(w) wrt w?\n' | b'-644*w\n' | b'Let q(a) be the third derivative of -161*a**5/30 - 85*a**3/2 - 2*a**2 - 27*a. What is the first derivative of q(w) wrt w?\n' | b'-644*w\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 h and 1 l when three letters picked without replacement from {z: 1, l: 1, r: 2, a: 1, h: 2}.\n' | b'1/35\n' | b'Calculate prob of picking 2 h and 1 l when three letters picked without replacement from {z: 1, l: 1, r: 2, a: 1, h: 2}.\n' | b'1/35\n' | deepmind/math_dataset |
b'Let u(c) be the second derivative of c**3/3 - 3*c**2/2 + c. Let x = 61 + -60. Let d be ((-3)/(-3)*-1 - 3) + x. Calculate u(d).\n' | b'-9\n' | b'Let u(c) be the second derivative of c**3/3 - 3*c**2/2 + c. Let x = 61 + -60. Let d be ((-3)/(-3)*-1 - 3) + x. Calculate u(d).\n' | b'-9\n' | deepmind/math_dataset |
b'Simplify ((q**(2/3)/(q**(-6)*q))/(q*(q*q/q**(-1))/q)**(3/2))/((q**(-2/7)*q)**(5/6))**(-5) assuming q is positive.\n' | b'q**(29/7)\n' | b'Simplify ((q**(2/3)/(q**(-6)*q))/(q*(q*q/q**(-1))/q)**(3/2))/((q**(-2/7)*q)**(5/6))**(-5) assuming q is positive.\n' | b'q**(29/7)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {c: 2, n: 1, z: 1, k: 1, e: 3, w: 3}. Give prob of sequence nwc.\n' | b'1/165\n' | b'Three letters picked without replacement from {c: 2, n: 1, z: 1, k: 1, e: 3, w: 3}. Give prob of sequence nwc.\n' | b'1/165\n' | deepmind/math_dataset |
b'Simplify (m*m**(6/5)*m**(-3/8)*m**(1/4)/(m*m*m/m**(3/7)*m*m))/((m**0/m)**(-9)/(m*m/((m/m**(-2))/m))**(26/9)) assuming m is positive.\n' | b'm**(-3219/280)\n' | b'Simplify (m*m**(6/5)*m**(-3/8)*m**(1/4)/(m*m*m/m**(3/7)*m*m))/((m**0/m)**(-9)/(m*m/((m/m**(-2))/m))**(26/9)) assuming m is positive.\n' | b'm**(-3219/280)\n' | deepmind/math_dataset |
b'What is prob of picking 1 d and 3 q when four letters picked without replacement from {q: 17, d: 1}?\n' | b'2/9\n' | b'What is prob of picking 1 d and 3 q when four letters picked without replacement from {q: 17, d: 1}?\n' | b'2/9\n' | deepmind/math_dataset |
b'Let d(k) be the second derivative of k**5/15 + k**4/24 + k**3/6 - 11*k. Let v(w) be the second derivative of d(w). Determine v(-1).\n' | b'-7\n' | b'Let d(k) be the second derivative of k**5/15 + k**4/24 + k**3/6 - 11*k. Let v(w) be the second derivative of d(w). Determine v(-1).\n' | b'-7\n' | deepmind/math_dataset |
b'Let i(o) = -5*o**3 + 7*o**2 - 6*o + 7. Let d(w) = w**3 + w - 1. Let b(s) = 4*d(s) + i(s). Let n = 32787 - 32781. Calculate b(n).\n' | b'27\n' | b'Let i(o) = -5*o**3 + 7*o**2 - 6*o + 7. Let d(w) = w**3 + w - 1. Let b(s) = 4*d(s) + i(s). Let n = 32787 - 32781. Calculate b(n).\n' | b'27\n' | deepmind/math_dataset |
b'Let n(d) = -3*d + 1 - 2 + 4*d. Suppose -2*g - 4*t - 10 = 0, 10*t - 8*t - 7 = 3*g. Calculate n(g).\n' | b'-4\n' | b'Let n(d) = -3*d + 1 - 2 + 4*d. Suppose -2*g - 4*t - 10 = 0, 10*t - 8*t - 7 = 3*g. Calculate n(g).\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ypeypppdp. Give prob of picking 2 p.\n' | b'5/18\n' | b'Two letters picked without replacement from ypeypppdp. Give prob of picking 2 p.\n' | b'5/18\n' | deepmind/math_dataset |
b'Three letters picked without replacement from tygppqtzgtgqqqg. What is prob of picking 1 p, 1 t, and 1 q?\n' | b'24/455\n' | b'Three letters picked without replacement from tygppqtzgtgqqqg. What is prob of picking 1 p, 1 t, and 1 q?\n' | b'24/455\n' | deepmind/math_dataset |
b'Calculate prob of sequence zll when three letters picked without replacement from {z: 6, l: 4}.\n' | b'1/10\n' | b'Calculate prob of sequence zll when three letters picked without replacement from {z: 6, l: 4}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let d = -12 - -10. Let m be 6/(-8)*(6 - d). Let z(i) = -7*i**3 - 9*i**2 - 5*i + 3. Let g(v) = -4*v**3 - 4*v**2 - 2*v + 1. Let b(r) = 5*g(r) - 3*z(r). Give b(m).\n' | b'2\n' | b'Let d = -12 - -10. Let m be 6/(-8)*(6 - d). Let z(i) = -7*i**3 - 9*i**2 - 5*i + 3. Let g(v) = -4*v**3 - 4*v**2 - 2*v + 1. Let b(r) = 5*g(r) - 3*z(r). Give b(m).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (p**(2/5))**19*p/(p*p/(p*p*p**3))*p/(p/(p/(p*p*p**(1/2)/p*p))) assuming p is positive.\n' | b'p**(101/10)\n' | b'Simplify (p**(2/5))**19*p/(p*p/(p*p*p**3))*p/(p/(p/(p*p*p**(1/2)/p*p))) assuming p is positive.\n' | b'p**(101/10)\n' | deepmind/math_dataset |
b'Let z be 0*(1 + -1 - 1). Let k = -21 - -40. Solve -5*u = -z*u - p - k, -2*u = 4*p - 12 for u.\n' | b'4\n' | b'Let z be 0*(1 + -1 - 1). Let k = -21 - -40. Solve -5*u = -z*u - p - k, -2*u = 4*p - 12 for u.\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from dbbb. Give prob of picking 3 b.\n' | b'1/4\n' | b'Three letters picked without replacement from dbbb. Give prob of picking 3 b.\n' | b'1/4\n' | deepmind/math_dataset |
b'Let d be (1 - 1)/((-146)/146). Let r(k) be the second derivative of d - 3/2*k**3 + 0*k**4 - 3/10*k**5 + 0*k**2 - 7*k. Find the second derivative of r(g) wrt g.\n' | b'-36*g\n' | b'Let d be (1 - 1)/((-146)/146). Let r(k) be the second derivative of d - 3/2*k**3 + 0*k**4 - 3/10*k**5 + 0*k**2 - 7*k. Find the second derivative of r(g) wrt g.\n' | b'-36*g\n' | deepmind/math_dataset |
b'Suppose -4*j = -5*i + 10, 6*j - 7 = 3*i + j. Let n = 3 + 0. Let x = n - 1. Solve k + 5 = x*c, 5*k + 5*c - 56 = -i for k.\n' | b'5\n' | b'Suppose -4*j = -5*i + 10, 6*j - 7 = 3*i + j. Let n = 3 + 0. Let x = n - 1. Solve k + 5 = x*c, 5*k + 5*c - 56 = -i for k.\n' | b'5\n' | deepmind/math_dataset |
b'Let i(a) be the first derivative of 0*a**2 + 0*a**3 + 1 - 11*a + 6/5*a**5 + 0*a**4. What is the derivative of i(t) wrt t?\n' | b'24*t**3\n' | b'Let i(a) be the first derivative of 0*a**2 + 0*a**3 + 1 - 11*a + 6/5*a**5 + 0*a**4. What is the derivative of i(t) wrt t?\n' | b'24*t**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 1, c: 2, d: 2, m: 4}. What is prob of picking 1 c and 1 i?\n' | b'1/18\n' | b'Two letters picked without replacement from {i: 1, c: 2, d: 2, m: 4}. What is prob of picking 1 c and 1 i?\n' | b'1/18\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 h and 1 g when two letters picked without replacement from {g: 1, d: 4, r: 6, h: 4, o: 1}.\n' | b'1/30\n' | b'Calculate prob of picking 1 h and 1 g when two letters picked without replacement from {g: 1, d: 4, r: 6, h: 4, o: 1}.\n' | b'1/30\n' | deepmind/math_dataset |
b'Calculate prob of sequence aina when four letters picked without replacement from nanannnaaaianannnna.\n' | b'35/5814\n' | b'Calculate prob of sequence aina when four letters picked without replacement from nanannnaaaianannnna.\n' | b'35/5814\n' | deepmind/math_dataset |
b'Three letters picked without replacement from cecccchghgceechgda. What is prob of picking 1 h and 2 e?\n' | b'3/272\n' | b'Three letters picked without replacement from cecccchghgceechgda. What is prob of picking 1 h and 2 e?\n' | b'3/272\n' | deepmind/math_dataset |
b'Simplify ((((j/(j**(2/5)/j))/j)/j)/j**9)/(j**(2/5)/j**1) assuming j is positive.\n' | b'j**(-44/5)\n' | b'Simplify ((((j/(j**(2/5)/j))/j)/j)/j**9)/(j**(2/5)/j**1) assuming j is positive.\n' | b'j**(-44/5)\n' | deepmind/math_dataset |
b'What is the third derivative of 2358*u - 153*u**6 - 66*u**2 + 42*u**2 - 2358*u wrt u?\n' | b'-18360*u**3\n' | b'What is the third derivative of 2358*u - 153*u**6 - 66*u**2 + 42*u**2 - 2358*u wrt u?\n' | b'-18360*u**3\n' | deepmind/math_dataset |
b'Suppose -3 = -5*f + 3*j - 32, 5*j = -4*f - 38. Let d = 11 + f. Solve -s = -2*h, 5*h - 4*s = d*h for h.\n' | b'0\n' | b'Suppose -3 = -5*f + 3*j - 32, 5*j = -4*f - 38. Let d = 11 + f. Solve -s = -2*h, 5*h - 4*s = d*h for h.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 3, b: 2, o: 1, l: 4, q: 2, t: 3}. Give prob of sequence bl.\n' | b'4/105\n' | b'Two letters picked without replacement from {d: 3, b: 2, o: 1, l: 4, q: 2, t: 3}. Give prob of sequence bl.\n' | b'4/105\n' | deepmind/math_dataset |
b'Let g(w) = w + 3. Let q be g(-4). Let m(y) be the second derivative of y**5/15 - y**3/6 + y**2/2 - y. Let l(h) be the first derivative of m(h). What is l(q)?\n' | b'3\n' | b'Let g(w) = w + 3. Let q be g(-4). Let m(y) be the second derivative of y**5/15 - y**3/6 + y**2/2 - y. Let l(h) be the first derivative of m(h). What is l(q)?\n' | b'3\n' | deepmind/math_dataset |
b'Let w(h) = h**3 - h. Let c(j) = -16*j**3 + 4*j - 35. Let x(p) = -c(p) - 4*w(p). Differentiate x(q) with respect to q.\n' | b'36*q**2\n' | b'Let w(h) = h**3 - h. Let c(j) = -16*j**3 + 4*j - 35. Let x(p) = -c(p) - 4*w(p). Differentiate x(q) with respect to q.\n' | b'36*q**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 6, z: 7, o: 4}. What is prob of sequence no?\n' | b'3/34\n' | b'Two letters picked without replacement from {n: 6, z: 7, o: 4}. What is prob of sequence no?\n' | b'3/34\n' | deepmind/math_dataset |
b'Simplify ((l**(-4)*l)**3)**(-3) assuming l is positive.\n' | b'l**27\n' | b'Simplify ((l**(-4)*l)**3)**(-3) assuming l is positive.\n' | b'l**27\n' | deepmind/math_dataset |
b'Let j be 0/((-4 + 2)/(5 - 3)). Solve j = k + 3, -n + 5*k = 4*k for n.\n' | b'-3\n' | b'Let j be 0/((-4 + 2)/(5 - 3)). Solve j = k + 3, -n + 5*k = 4*k for n.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (t*t*t*t**(21/4)/t*t*t)**(-6)/(t**(4/3)/t*t**(-12/11)) assuming t is positive.\n' | b't**(-3613/66)\n' | b'Simplify (t*t*t*t**(21/4)/t*t*t)**(-6)/(t**(4/3)/t*t**(-12/11)) assuming t is positive.\n' | b't**(-3613/66)\n' | deepmind/math_dataset |
b'Suppose 148*b - 149*b + 11 = -2*h, 5*b = -3*h - 23. Let x(q) = -q**2 - 4*q + 7. Give x(h).\n' | b'-5\n' | b'Suppose 148*b - 149*b + 11 = -2*h, 5*b = -3*h - 23. Let x(q) = -q**2 - 4*q + 7. Give x(h).\n' | b'-5\n' | deepmind/math_dataset |
b'Let n(p) = -p**3 - 5*p**2 + 2*p + 1. Let w be 11 + (0/(1 + 3) - 0). Suppose 2 = -h - c + 6, 2*h - w = -3*c. Suppose h - 21 = 4*f. What is n(f)?\n' | b'-9\n' | b'Let n(p) = -p**3 - 5*p**2 + 2*p + 1. Let w be 11 + (0/(1 + 3) - 0). Suppose 2 = -h - c + 6, 2*h - w = -3*c. Suppose h - 21 = 4*f. What is n(f)?\n' | b'-9\n' | deepmind/math_dataset |
b'Calculate prob of sequence lzp when three letters picked without replacement from {k: 3, z: 5, l: 1, v: 1, p: 4, x: 4}.\n' | b'5/1224\n' | b'Calculate prob of sequence lzp when three letters picked without replacement from {k: 3, z: 5, l: 1, v: 1, p: 4, x: 4}.\n' | b'5/1224\n' | deepmind/math_dataset |
b'What is prob of sequence iw when two letters picked without replacement from {w: 2, o: 1, f: 1, s: 1, i: 1, k: 1}?\n' | b'1/21\n' | b'What is prob of sequence iw when two letters picked without replacement from {w: 2, o: 1, f: 1, s: 1, i: 1, k: 1}?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let h(q) be the third derivative of 4*q**5/15 - 5*q**3/6 + 4*q**2. Differentiate h(k) wrt k.\n' | b'32*k\n' | b'Let h(q) be the third derivative of 4*q**5/15 - 5*q**3/6 + 4*q**2. Differentiate h(k) wrt k.\n' | b'32*k\n' | deepmind/math_dataset |
b'What is prob of sequence bk when two letters picked without replacement from xkbkxbcxxdkxs?\n' | b'1/26\n' | b'What is prob of sequence bk when two letters picked without replacement from xkbkxbcxxdkxs?\n' | b'1/26\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 8, n: 4, z: 1}. What is prob of sequence nx?\n' | b'8/39\n' | b'Two letters picked without replacement from {x: 8, n: 4, z: 1}. What is prob of sequence nx?\n' | b'8/39\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qqdpypqdq. Give prob of sequence pqy.\n' | b'1/63\n' | b'Three letters picked without replacement from qqdpypqdq. Give prob of sequence pqy.\n' | b'1/63\n' | deepmind/math_dataset |
b'Let o(c) = -2*c + 9. Suppose -4*b - 7 = 3*r + 2*r, b + 7 = -3*r. Let s(g) = -2*g**3 - 6*g**2 + 7. Let w be s(r). What is o(w)?\n' | b'-5\n' | b'Let o(c) = -2*c + 9. Suppose -4*b - 7 = 3*r + 2*r, b + 7 = -3*r. Let s(g) = -2*g**3 - 6*g**2 + 7. Let w be s(r). What is o(w)?\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((((s/s**42)/s*s**(-15))**4)**(-1/3))**(-3/11) assuming s is positive.\n' | b's**(-228/11)\n' | b'Simplify ((((s/s**42)/s*s**(-15))**4)**(-1/3))**(-3/11) assuming s is positive.\n' | b's**(-228/11)\n' | deepmind/math_dataset |
b'Calculate prob of sequence kkk when three letters picked without replacement from vkvvkkvvs.\n' | b'1/84\n' | b'Calculate prob of sequence kkk when three letters picked without replacement from vkvvkkvvs.\n' | b'1/84\n' | deepmind/math_dataset |
b'Simplify ((((x**15*x)**(-20/13))**(-2/81))**(-24))**(-37/3) assuming x is positive.\n' | b'x**(189440/1053)\n' | b'Simplify ((((x**15*x)**(-20/13))**(-2/81))**(-24))**(-37/3) assuming x is positive.\n' | b'x**(189440/1053)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {k: 1, a: 1, n: 1, g: 1, l: 1}. Give prob of sequence nag.\n' | b'1/60\n' | b'Three letters picked without replacement from {k: 1, a: 1, n: 1, g: 1, l: 1}. Give prob of sequence nag.\n' | b'1/60\n' | deepmind/math_dataset |
b'Let h(j) = -53*j**3 + 5*j**2 + 94. Let k(b) = 4*b**2 - 1283*b**3 + 1309*b**3 - 47 - 6*b**2. Let r(t) = -2*h(t) - 5*k(t). What is the derivative of r(g) wrt g?\n' | b'-72*g**2\n' | b'Let h(j) = -53*j**3 + 5*j**2 + 94. Let k(b) = 4*b**2 - 1283*b**3 + 1309*b**3 - 47 - 6*b**2. Let r(t) = -2*h(t) - 5*k(t). What is the derivative of r(g) wrt g?\n' | b'-72*g**2\n' | deepmind/math_dataset |
b'Suppose 7*y + 32 = 11*y. Suppose 2*h + h - 10 = d, 4*d - 4*h = -y. Solve b - 20 = 5*p, -d*p = -4*p + 5*b + 15 for p.\n' | b'-5\n' | b'Suppose 7*y + 32 = 11*y. Suppose 2*h + h - 10 = d, 4*d - 4*h = -y. Solve b - 20 = 5*p, -d*p = -4*p + 5*b + 15 for p.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((g/(g*g*g**(-2)))/g**(2/25))**39 assuming g is positive.\n' | b'g**(897/25)\n' | b'Simplify ((g/(g*g*g**(-2)))/g**(2/25))**39 assuming g is positive.\n' | b'g**(897/25)\n' | deepmind/math_dataset |
b'What is prob of picking 1 h and 1 i when two letters picked without replacement from kqiikbiqkhkkhqkhihk?\n' | b'16/171\n' | b'What is prob of picking 1 h and 1 i when two letters picked without replacement from kqiikbiqkhkkhqkhihk?\n' | b'16/171\n' | deepmind/math_dataset |
b'Differentiate -2 - 2 - 2 + 7*v**3 + 2 wrt v.\n' | b'21*v**2\n' | b'Differentiate -2 - 2 - 2 + 7*v**3 + 2 wrt v.\n' | b'21*v**2\n' | deepmind/math_dataset |
b'Simplify (((x**(-1/5)*x**(-6))**(41/3))**(-5/4))**42 assuming x is positive.\n' | b'x**(8897/2)\n' | b'Simplify (((x**(-1/5)*x**(-6))**(41/3))**(-5/4))**42 assuming x is positive.\n' | b'x**(8897/2)\n' | deepmind/math_dataset |
b'Calculate prob of sequence hrt when three letters picked without replacement from tvrgh.\n' | b'1/60\n' | b'Calculate prob of sequence hrt when three letters picked without replacement from tvrgh.\n' | b'1/60\n' | deepmind/math_dataset |
b'Let y(j) be the first derivative of j**2/2 - 2*j + 1. Let o = 8 - 9. Let x = o - -3. What is y(x)?\n' | b'0\n' | b'Let y(j) be the first derivative of j**2/2 - 2*j + 1. Let o = 8 - 9. Let x = o - -3. What is y(x)?\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -8*k + 11*k = 6. Let f(i) = 3 - 3*i**k - 5*i + 3*i**2 + 2*i**2 - 4. Give f(4).\n' | b'11\n' | b'Suppose -8*k + 11*k = 6. Let f(i) = 3 - 3*i**k - 5*i + 3*i**2 + 2*i**2 - 4. Give f(4).\n' | b'11\n' | deepmind/math_dataset |
b'Let c = -38 - -54. Let l be c/5 - 2/10. Solve -n + l*o = 2*o + 2, -4*o = 3*n + 20 for n.\n' | b'-4\n' | b'Let c = -38 - -54. Let l be c/5 - 2/10. Solve -n + l*o = 2*o + 2, -4*o = 3*n + 20 for n.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose p = -5*p. Solve -3*l + 2*k + 0 = -2, p = -2*k + 4 for l.\n' | b'2\n' | b'Suppose p = -5*p. Solve -3*l + 2*k + 0 = -2, p = -2*k + 4 for l.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ffvvfvv. Give prob of picking 1 f and 1 v.\n' | b'4/7\n' | b'Two letters picked without replacement from ffvvfvv. Give prob of picking 1 f and 1 v.\n' | b'4/7\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 c when three letters picked without replacement from {c: 4, v: 3, k: 1}.\n' | b'1/14\n' | b'Calculate prob of picking 3 c when three letters picked without replacement from {c: 4, v: 3, k: 1}.\n' | b'1/14\n' | deepmind/math_dataset |
b'Simplify q**(-3/5)*q*q**(-1)/q*q/((q**(-2/33)/q)/q)*q**(-2)*q assuming q is positive.\n' | b'q**(76/165)\n' | b'Simplify q**(-3/5)*q*q**(-1)/q*q/((q**(-2/33)/q)/q)*q**(-2)*q assuming q is positive.\n' | b'q**(76/165)\n' | deepmind/math_dataset |
b'Let z be (-40 + 40)*(-1 + 0/2). Suppose -2*j - 1 = -3. Let w be 2/(j/5*2). Solve z = -o + w*h - 15, -2*h + 28 = o + 3*o for o.\n' | b'5\n' | b'Let z be (-40 + 40)*(-1 + 0/2). Suppose -2*j - 1 = -3. Let w be 2/(j/5*2). Solve z = -o + w*h - 15, -2*h + 28 = o + 3*o for o.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 7, c: 5}. Give prob of picking 2 y and 2 c.\n' | b'14/33\n' | b'Four letters picked without replacement from {y: 7, c: 5}. Give prob of picking 2 y and 2 c.\n' | b'14/33\n' | deepmind/math_dataset |
b'Let o(i) = i**2 + 3*i - 6. Let j be o(2). Suppose t - 4*z = -3*t + 56, -3*t + 4*z = -40. Solve y + 4*x - t = 0, 3*y - 1 = j*x - 17 for y.\n' | b'0\n' | b'Let o(i) = i**2 + 3*i - 6. Let j be o(2). Suppose t - 4*z = -3*t + 56, -3*t + 4*z = -40. Solve y + 4*x - t = 0, 3*y - 1 = j*x - 17 for y.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -4*h + 0*h = 0. Suppose -2*q + 16 = 4*k, 4*q + h*q - 16 = 0. What is the second derivative of -l**k + 0*l + 0*l - l wrt l?\n' | b'-2\n' | b'Suppose -4*h + 0*h = 0. Suppose -2*q + 16 = 4*k, 4*q + h*q - 16 = 0. What is the second derivative of -l**k + 0*l + 0*l - l wrt l?\n' | b'-2\n' | deepmind/math_dataset |
b'Let q(l) = -15*l**4 - 5*l**2 - 5*l + 3. Let h(d) = 46*d**4 + 14*d**2 + 14*d - 8. Let j(k) = 5*h(k) + 14*q(k). What is the first derivative of j(z) wrt z?\n' | b'80*z**3\n' | b'Let q(l) = -15*l**4 - 5*l**2 - 5*l + 3. Let h(d) = 46*d**4 + 14*d**2 + 14*d - 8. Let j(k) = 5*h(k) + 14*q(k). What is the first derivative of j(z) wrt z?\n' | b'80*z**3\n' | deepmind/math_dataset |
b'Simplify (k**1*k)**41*k**5*k**(3/5) assuming k is positive.\n' | b'k**(438/5)\n' | b'Simplify (k**1*k)**41*k**5*k**(3/5) assuming k is positive.\n' | b'k**(438/5)\n' | deepmind/math_dataset |
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